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&[DATE] &[TIME] - &[FILENAME]
&[PAGENUM] / &[COUNT]

Natural frequencies of double section beam, with mass at the top

suspended mass

position of suspended mass from the top

bottom column cross section area

bottom column cross section inertia

bottom column lenght

top column cross section area

top column cross section inertia

top column lenght

Hooke modulus

density

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</math> </region> <region left="45" top="1764" width="198" height="23" color="#000000" fontSize="10" isBreakable="false"> <text lang="eng"> <content> <p style="font-weight: bold; text-decoration: underline; font-family: Courier New; background-color: #ffffff;">SYSTEM STIFFNESS MATRIX</p> </content> </text> </region> <region left="54" top="1809" width="535" height="113" color="#000000" bgColor="#ffffff" fontSize="10"> <math decimalPlaces="6" exponentialThreshold="5"> <input> <e type="operand">base</e> <e type="operand">data</e> <e type="operand">row</e> <e type="operand">col</e> <e type="function" args="4">merge</e> <e type="operand">out</e> <e type="operand">base</e> <e type="operator" args="2">:</e> <e type="operand">r</e> <e type="operand">1</e> <e type="operand">data</e> <e type="function" args="1">rows</e> <e type="function" args="2">range</e> <e type="operand">c</e> <e type="operand">1</e> <e type="operand">data</e> <e type="function" args="1">cols</e> <e type="function" args="2">range</e> <e type="operand">out</e> <e type="operand">row</e> <e type="operand">r</e> <e type="operator" args="2">+</e> <e type="operand">1</e> <e type="operator" args="2">-</e> <e type="operand">col</e> <e type="operand">c</e> <e type="operator" args="2">+</e> <e type="operand">1</e> <e type="operator" args="2">-</e> <e type="function" args="3">el</e> <e type="operand">data</e> <e type="operand">r</e> <e type="operand">c</e> <e type="function" args="3">el</e> <e type="operator" args="2">:</e> <e type="function" args="3">for</e> <e type="function" args="3">for</e> <e type="operand">out</e> <e type="operand">3</e> <e type="operand">1</e> <e type="function" args="5">line</e> <e type="operator" args="2">:</e> </input> </math> </region> <region left="594" top="1827" width="134" height="38" color="#000000" fontSize="10" isBreakable="false"> <text lang="eng"> <content> <p style="font-family: Courier New; background-color: #ffffff;">function to assembly matrix</p> </content> </text> </region> <region left="72" top="2025" width="311" height="190" color="#000000" bgColor="#ffffff" fontSize="10"> <math exponentialThreshold="5"> <input> <e type="operand">K</e> <e type="operand">10</e> <e type="operand">10</e> <e type="function" args="2">matrix</e> <e type="operator" args="2">:</e> </input> <result action="numeric"> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">0</e> <e type="operand">10</e> <e type="operand">10</e> <e type="function" args="102">mat</e> </result> </math> </region> <region left="27" top="2232" width="1094" height="43" color="#000000" bgColor="#ffffff" fontSize="10"> <math optimize="2" decimalPlaces="15" exponentialThreshold="5" matrixOptions="0,0,6,6"> <input> <e type="operand">K.system</e> <e type="operand">K</e> <e type="operand">K.11</e> <e type="operand">1</e> <e type="operand">4</e> <e type="function" args="2">range</e> <e type="operand">1</e> <e type="operand">4</e> <e type="function" args="2">range</e> <e type="function" args="3">el</e> <e type="operand">1</e> <e type="operand">1</e> <e type="function" args="4">merge</e> <e type="operand">K</e> <e type="operand">K.12</e> <e type="operand">1</e> <e type="operand">4</e> <e type="function" args="2">range</e> <e type="operand">1</e> <e type="operand">4</e> <e type="function" args="2">range</e> <e type="function" args="3">el</e> <e type="operand">3</e> <e type="operand">3</e> <e type="function" args="4">merge</e> <e type="operator" args="2">+</e> <e type="operand">K</e> <e type="operand">K.21</e> <e type="operand">1</e> <e type="operand">4</e> <e type="function" args="2">range</e> <e type="operand">1</e> <e type="operand">4</e> <e type="function" args="2">range</e> <e type="function" args="3">el</e> <e type="operand">5</e> <e type="operand">5</e> <e type="function" args="4">merge</e> <e type="operator" args="2">+</e> <e type="operand">K</e> <e type="operand">K.22</e> <e type="operand">1</e> <e type="operand">4</e> <e type="function" args="2">range</e> <e type="operand">1</e> <e type="operand">4</e> <e type="function" args="2">range</e> <e type="function" args="3">el</e> <e type="operand">7</e> <e type="operand">7</e> <e type="function" args="4">merge</e> <e type="operator" args="2">+</e> <e type="operator" args="2">:</e> </input> </math> </region> <region left="27" top="2385" width="294" height="23" color="#000000" fontSize="10" isBreakable="false"> <text lang="eng"> <content> <p style="font-weight: bold; text-decoration: underline; font-family: Courier New; background-color: #ffffff;">CONSTARINED SYSTEM STIFFNESS MATRIX</p> </content> </text> </region> <region left="45" top="2448" width="166" height="32" color="#000000" bgColor="#ffffff" fontSize="10"> <math decimalPlaces="15" exponentialThreshold="5"> <input> <e type="operand">m</e> <e type="operand">K.system</e> <e type="function" args="1">rows</e> <e type="operator" args="2">:</e> </input> <result action="numeric"> <e type="operand">10</e> </result> </math> </region> <region left="36" top="2502" width="328" height="32" color="#000000" bgColor="#ffffff" fontSize="10"> <math optimize="2" decimalPlaces="15" exponentialThreshold="5" matrixOptions="0,0,8,8"> <input> <e type="operand">K.system_cons</e> <e type="operand">K.system</e> <e type="operand">3</e> <e type="operand">m</e> <e type="operand">3</e> <e type="operand">m</e> <e type="function" args="5">submatrix</e> <e type="operator" args="2">:</e> </input> </math> </region> <region left="36" top="2556" width="174" height="23" color="#000000" fontSize="10" isBreakable="false"> <text lang="eng"> <content> <p style="font-weight: bold; text-decoration: underline; font-family: Courier New; background-color: #ffffff;">ELEMENTS MASS MATRIX</p> </content> </text> </region> <region left="45" top="2610" width="461" height="264" color="#000000" bgColor="#ffffff" fontSize="10"> <math optimize="2" decimalPlaces="15" exponentialThreshold="5"> <input> <e type="operand">M.11</e> <e type="operand">ρ</e> <e type="operand" style="unit">kg</e> <e type="operand" style="unit">m</e> <e type="operand">3</e> <e type="operator" args="2">^</e> <e type="operator" args="2">/</e> <e type="operator" args="2">/</e> <e type="operand">A.1</e> <e type="operand" style="unit">m</e> <e type="operand">2</e> <e type="operator" args="2">^</e> <e type="operator" args="2">/</e> <e type="operator" args="2">*</e> <e type="operand">l.1</e> <e type="operand">2</e> <e type="operator" args="2">/</e> <e type="operand" style="unit">m</e> <e type="operator" args="2">/</e> <e type="operator" args="2">*</e> <e type="operand">420</e> <e type="operator" args="2">/</e> <e type="operand">156</e> <e type="operand">22</e> <e type="operand">l.1</e> <e type="operand">2</e> <e type="operator" args="2">/</e> <e type="operand" style="unit">m</e> <e type="operator" args="2">/</e> <e type="operator" args="2">*</e> <e type="operand">54</e> <e type="operand">13</e> <e type="operand">l.1</e> <e type="operand">2</e> <e type="operator" args="2">/</e> <e type="operand" style="unit">m</e> <e type="operator" args="2">/</e> <e type="operator" args="2">*</e> <e type="operator" args="1">-</e> <e type="operand">22</e> <e type="operand">l.1</e> <e type="operand">2</e> <e type="operator" args="2">/</e> <e type="operand" style="unit">m</e> <e type="operator" args="2">/</e> <e type="operator" args="2">*</e> <e type="operand">4</e> <e type="operand">l.1</e> <e type="operand">2</e> <e type="operator" args="2">/</e> <e type="operand" style="unit">m</e> <e type="operator" args="2">/</e> <e type="bracket">(</e> <e type="operand">2</e> <e type="operator" args="2">^</e> <e type="operator" args="2">*</e> <e type="operand">13</e> <e type="operand">l.1</e> <e type="operand">2</e> <e type="operator" args="2">/</e> <e type="operand" style="unit">m</e> <e type="operator" args="2">/</e> <e type="operator" args="2">*</e> <e type="operand">3</e> <e type="operand">l.1</e> <e type="operand">2</e> <e type="operator" args="2">/</e> <e type="operand" style="unit">m</e> <e type="operator" args="2">/</e> <e type="bracket">(</e> <e type="operand">2</e> <e type="operator" args="2">^</e> <e type="operator" args="2">*</e> <e type="operator" args="1">-</e> <e type="operand">54</e> <e type="operand">13</e> <e type="operand">l.1</e> <e type="operand">2</e> <e type="operator" args="2">/</e> <e type="operand" style="unit">m</e> <e type="operator" args="2">/</e> <e type="operator" args="2">*</e> <e type="operand">156</e> <e type="operand">22</e> <e type="operand">l.1</e> <e type="operand">2</e> <e type="operator" args="2">/</e> <e type="operand" style="unit">m</e> <e type="operator" args="2">/</e> <e type="operator" args="2">*</e> <e type="operator" args="1">-</e> <e type="operand">13</e> <e type="operand">l.1</e> <e type="operand">2</e> <e type="operator" args="2">/</e> <e type="operand" style="unit">m</e> <e type="operator" args="2">/</e> <e type="operator" args="2">*</e> <e type="operator" args="1">-</e> <e type="operand">3</e> <e type="operand">l.1</e> <e type="operand">2</e> <e type="operator" args="2">/</e> <e type="operand" style="unit">m</e> <e type="operator" args="2">/</e> <e type="bracket">(</e> <e type="operand">2</e> <e type="operator" args="2">^</e> <e type="operator" args="2">*</e> <e type="operator" args="1">-</e> <e type="operand">22</e> <e type="operand">l.1</e> <e type="operand">2</e> <e type="operator" args="2">/</e> <e type="operand" style="unit">m</e> <e type="operator" args="2">/</e> <e type="operator" args="2">*</e> <e type="operator" args="1">-</e> <e type="operand">4</e> <e type="operand">l.1</e> <e type="operand">2</e> <e type="operator" args="2">/</e> <e type="operand" style="unit">m</e> <e type="operator" args="2">/</e> <e type="bracket">(</e> <e type="operator" args="2">*</e> <e type="operand">4</e> <e type="operand">4</e> <e type="function" args="18">mat</e> <e type="operator" args="2">*</e> <e type="operator" args="2">:</e> </input> </math> </region> <region left="54" top="2889" width="461" height="264" color="#000000" bgColor="#ffffff" fontSize="10"> <math optimize="2" exponentialThreshold="5"> <input> <e type="operand">M.12</e> <e type="operand">ρ</e> <e type="operand" style="unit">kg</e> <e type="operand" style="unit">m</e> <e type="operand">3</e> <e type="operator" args="2">^</e> <e type="operator" args="2">/</e> <e type="operator" args="2">/</e> <e type="operand">A.1</e> <e type="operand" style="unit">m</e> <e type="operand">2</e> <e type="operator" args="2">^</e> <e type="operator" args="2">/</e> <e type="operator" args="2">*</e> <e type="operand">l.1</e> <e type="operand">2</e> <e type="operator" args="2">/</e> <e type="operand" style="unit">m</e> <e type="operator" args="2">/</e> <e type="operator" args="2">*</e> <e type="operand">420</e> <e type="operator" args="2">/</e> <e type="operand">156</e> <e type="operand">22</e> <e type="operand">l.1</e> <e type="operand">2</e> <e type="operator" args="2">/</e> <e type="operand" style="unit">m</e> <e type="operator" args="2">/</e> <e type="operator" args="2">*</e> <e type="operand">54</e> <e type="operand">13</e> <e type="operand">l.1</e> <e type="operand">2</e> <e type="operator" args="2">/</e> <e type="operand" style="unit">m</e> <e type="operator" args="2">/</e> <e type="operator" args="2">*</e> <e type="operator" args="1">-</e> <e type="operand">22</e> <e type="operand">l.1</e> <e type="operand">2</e> <e type="operator" args="2">/</e> <e type="operand" style="unit">m</e> <e type="operator" args="2">/</e> <e type="operator" args="2">*</e> <e type="operand">4</e> <e type="operand">l.1</e> <e type="operand">2</e> <e type="operator" args="2">/</e> <e type="operand" style="unit">m</e> <e type="operator" args="2">/</e> <e type="bracket">(</e> <e type="operand">2</e> <e type="operator" args="2">^</e> <e type="operator" args="2">*</e> <e type="operand">13</e> <e type="operand">l.1</e> <e type="operand">2</e> <e type="operator" args="2">/</e> <e type="operand" style="unit">m</e> <e type="operator" args="2">/</e> <e type="operator" args="2">*</e> <e type="operand">3</e> <e type="operand">l.1</e> <e type="operand">2</e> <e type="operator" args="2">/</e> <e type="operand" style="unit">m</e> <e type="operator" args="2">/</e> <e type="bracket">(</e> <e type="operand">2</e> <e type="operator" args="2">^</e> <e type="operator" args="2">*</e> <e type="operator" args="1">-</e> <e type="operand">54</e> <e type="operand">13</e> <e type="operand">l.1</e> <e type="operand">2</e> <e type="operator" args="2">/</e> <e type="operand" style="unit">m</e> <e type="operator" args="2">/</e> <e type="operator" args="2">*</e> <e type="operand">156</e> <e type="operand">22</e> <e type="operand">l.1</e> <e type="operand">2</e> <e type="operator" args="2">/</e> <e type="operand" style="unit">m</e> <e type="operator" args="2">/</e> <e type="operator" args="2">*</e> <e type="operator" args="1">-</e> <e type="operand">13</e> <e type="operand">l.1</e> <e type="operand">2</e> <e type="operator" args="2">/</e> <e type="operand" style="unit">m</e> <e type="operator" args="2">/</e> <e type="operator" args="2">*</e> <e type="operator" args="1">-</e> <e type="operand">3</e> <e type="operand">l.1</e> <e type="operand">2</e> <e type="operator" args="2">/</e> <e type="operand" style="unit">m</e> <e type="operator" args="2">/</e> <e type="bracket">(</e> <e type="operand">2</e> <e type="operator" args="2">^</e> <e type="operator" args="2">*</e> <e type="operator" args="1">-</e> <e type="operand">22</e> <e type="operand">l.1</e> <e type="operand">2</e> <e type="operator" args="2">/</e> <e type="operand" style="unit">m</e> <e type="operator" args="2">/</e> <e type="operator" args="2">*</e> <e type="operator" args="1">-</e> <e type="operand">4</e> <e type="operand">l.1</e> <e type="operand">2</e> <e type="operator" args="2">/</e> <e type="operand" style="unit">m</e> <e type="operator" args="2">/</e> <e type="bracket">(</e> <e type="operator" args="2">*</e> <e type="operand">4</e> <e type="operand">4</e> <e type="function" args="18">mat</e> <e type="operator" args="2">*</e> <e type="operator" args="2">:</e> </input> </math> </region> <region left="36" top="3195" width="535" height="196" color="#000000" bgColor="#ffffff" fontSize="10"> <math optimize="2" exponentialThreshold="5"> <input> <e type="operand">M.21</e> <e type="operand">ρ</e> <e type="operand" style="unit">kg</e> <e type="operand" style="unit">m</e> <e type="operand">3</e> <e type="operator" args="2">^</e> <e type="operator" args="2">/</e> <e type="operator" args="2">/</e> <e type="operand">A.2</e> <e type="operand" style="unit">m</e> <e 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<e type="operand">3</e> <e type="operand">q</e> <e type="function" args="5">submatrix</e> <e type="operator" args="2">:</e> </input> </math> </region> <region left="36" top="4545" width="142" height="23" color="#000000" fontSize="10" isBreakable="false"> <text lang="eng"> <content> <p style="font-weight: bold; text-decoration: underline; font-family: Courier New; background-color: #ffffff;">DYNAMICAL MATRIX</p> </content> </text> </region> <region left="54" top="4599" width="271" height="32" color="#000000" bgColor="#ffffff" fontSize="10"> <math optimize="2" exponentialThreshold="5" matrixOptions="0,0,8,8"> <input> <e type="operand">A</e> <e type="operand">K.system_cons</e> <e type="function" args="1">invert</e> <e type="operand">M.system_cons</e> <e type="operator" args="2">*</e> <e type="operator" args="2">:</e> </input> </math> </region> <region left="54" top="4662" width="182" height="23" color="#000000" fontSize="10" isBreakable="false"> <text lang="eng"> <content> <p 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<e type="operand">0.0689</e> <e type="operand">0.0289</e> <e type="operator" args="1">-</e> <e type="operand">0.0123</e> <e type="operator" args="1">-</e> <e type="operand">0.0137</e> <e type="operand">8.9184</e> <e type="operand">10</e> <e type="operand">5</e> <e type="operator" args="1">-</e> <e type="operator" args="2">^</e> <e type="operator" args="2">*</e> <e type="operand">i</e> <e type="operator" args="2">*</e> <e type="operator" args="2">+</e> <e type="operand">0.0299</e> <e type="operator" args="1">-</e> <e type="operand">0.0011</e> <e type="operand">i</e> <e type="operator" args="2">*</e> <e type="operator" args="2">-</e> <e type="operand">1</e> <e type="operator" args="1">-</e> <e type="operand">0.0434</e> <e type="operand">0.9539</e> <e type="operand">0.6848</e> <e type="operand">0.4256</e> <e type="operator" args="1">-</e> <e type="operand">0.18</e> <e type="operator" args="1">-</e> <e type="operand">0.1924</e> <e type="operand">0.0015</e> <e type="operand">i</e> <e type="operator" args="2">*</e> <e type="operator" args="2">+</e> <e type="operand">0.4474</e> <e type="operator" args="1">-</e> <e type="operand">0.0173</e> <e type="operand">i</e> <e type="operator" args="2">*</e> <e type="operator" args="2">-</e> <e type="operand">0.0004</e> <e type="operand">0.2969</e> <e type="operand">0.0682</e> <e type="operator" args="1">-</e> <e type="operand">0.0689</e> <e type="operand">8</e> <e type="operand">8</e> <e type="function" args="66">mat</e> <e type="operand">1</e> <e type="operand">2</e> <e type="function" args="4">mat</e> </result> </math> </region> <region left="54" top="5472" width="209" height="28" color="#000000" fontSize="10"> <math decimalPlaces="1" exponentialThreshold="5" matrixOptions="0,0,3,3"> <input> <e type="operand">A</e> <e type="operand">M</e> <e type="operator" args="2">*</e> <e type="operand">M</e> <e type="operand">λ</e> <e type="function" args="1">diag</e> <e type="operator" args="2">*</e> <e type="operator" args="2">-</e> <e type="function" args="1">norme</e> </input> <result action="numeric"> <e type="operand">0</e> </result> </math> </region> <region left="90" top="5526" width="80" height="24" color="#000000" fontSize="10"> <text lang="eng"> <content> <p>or better</p> </content> </text> </region> <region left="27" top="5562" width="786" height="162" color="#000000" bgColor="#ffffff" fontSize="8"> <math exponentialThreshold="5"> <input> <e type="operand">λ</e> <e type="operand">M</e> <e type="operand">1</e> <e type="operand">2</e> <e type="function" args="4">mat</e> <e type="operand">A</e> <e type="function" args="1">eval</e> <e type="function" args="1">MEigen</e> <e type="function" args="1">Re</e> <e type="function" args="1">vectorize</e> <e type="operator" args="2">:</e> </input> <result action="numeric"> <e type="operand">9.6786</e> <e type="operand">10</e> <e type="operand">9</e> <e type="operator" args="1">-</e> <e type="operator" args="2">^</e> <e type="operator" args="2">*</e> <e type="operator" args="1">-</e> <e type="operand">9.6786</e> <e type="operand">10</e> <e type="operand">9</e> <e type="operator" args="1">-</e> <e type="operator" args="2">^</e> <e type="operator" args="2">*</e> <e type="operand">1.3878</e> <e type="operand">10</e> <e type="operand">17</e> <e type="operator" args="1">-</e> <e type="operator" args="2">^</e> <e type="operator" args="2">*</e> <e type="operand">1.3878</e> <e type="operand">10</e> <e type="operand">17</e> <e type="operator" args="1">-</e> <e type="operator" args="2">^</e> <e type="operator" args="2">*</e> <e type="operand">4.4286</e> <e type="operand">10</e> <e type="operand">9</e> <e type="operator" args="1">-</e> <e type="operator" args="2">^</e> <e type="operator" args="2">*</e> <e type="operator" args="1">-</e> <e type="operand">1.6411</e> <e type="operand">10</e> <e type="operand">5</e> <e type="operator" args="1">-</e> <e type="operator" args="2">^</e> <e type="operator" args="2">*</e> <e type="operand">0.0002</e> <e 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type="operator" args="2">*</e> <e type="operator" args="2">-</e> <e type="function" args="1">norme</e> </input> <result action="numeric"> <e type="operand">0</e> </result> </math> </region> <region left="18" top="5796" width="297" height="160" color="#000000" bgColor="#ffffff" fontSize="8"> <math exponentialThreshold="5"> <input> <e type="operand">λ</e> <e type="operand">A</e> <e type="function" args="1">dn_LinAlgEigenvalues</e> <e type="operator" args="2">:</e> </input> <result action="numeric"> <e type="operand">0.0567</e> <e type="operand">0.0002</e> <e type="operand">1.5588</e> <e type="operand">10</e> <e type="operand">5</e> <e type="operator" args="1">-</e> <e type="operator" args="2">^</e> <e type="operator" args="2">*</e> <e type="operand">2.1646</e> <e type="operand">10</e> <e type="operand">6</e> <e type="operator" args="1">-</e> <e type="operator" args="2">^</e> <e type="operator" args="2">*</e> <e type="operand">1.5921</e> <e type="operand">10</e> <e type="operand">6</e> <e type="operator" args="1">-</e> <e type="operator" args="2">^</e> <e type="operator" args="2">*</e> <e type="operator" args="1">-</e> <e type="operand">1.9853</e> <e type="operand">10</e> <e type="operand">7</e> <e type="operator" args="1">-</e> <e type="operator" args="2">^</e> <e type="operator" args="2">*</e> <e type="operand">1.1</e> <e type="operand">10</e> <e type="operand">14</e> <e type="operator" args="1">-</e> <e type="operator" args="2">^</e> <e type="operator" args="2">*</e> <e type="operand">3.2702</e> <e type="operand">10</e> <e type="operand">16</e> <e type="operator" args="1">-</e> <e type="operator" args="2">^</e> <e type="operator" args="2">*</e> <e type="operand">8</e> <e type="operand">1</e> <e type="function" args="10">mat</e> </result> </math> </region> <region left="18" top="5967" width="704" height="160" color="#000000" bgColor="#ffffff" fontSize="8"> <math exponentialThreshold="5" matrixOptions="0,0,8,8"> <input> <e type="operand">M</e> <e type="operand">A</e> 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args="66">mat</e> </result> </math> </region> <region left="36" top="6156" width="264" height="35" color="#000000" fontSize="10"> <math decimalPlaces="1" exponentialThreshold="5" matrixOptions="0,0,3,3"> <input> <e type="operand">A</e> <e type="operand">M</e> <e type="operator" args="2">*</e> <e type="operand">M</e> <e type="operand">λ</e> <e type="function" args="1">diag</e> <e type="operator" args="2">*</e> <e type="operator" args="2">-</e> <e type="function" args="1">norme</e> </input> <result action="numeric"> <e type="operand">7</e> <e type="operand">10</e> <e type="operand">16</e> <e type="operator" args="1">-</e> <e type="operator" args="2">^</e> <e type="operator" args="2">*</e> </result> </math> </region> <region left="36" top="6246" width="166" height="23" color="#000000" fontSize="10" isBreakable="false"> <text lang="eng"> <content> <p style="font-weight: bold; text-decoration: underline; font-family: Courier New; background-color: #ffffff;">NATURAL FREQUENCIES</p> 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